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What is the Least Common Multiple of 59077 and 59083?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 59077 and 59083 is 3490446391.

LCM(59077,59083) = 3490446391

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Least Common Multiple of 59077 and 59083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59077 and 59083, than apply into the LCM equation.

GCF(59077,59083) = 1
LCM(59077,59083) = ( 59077 × 59083) / 1
LCM(59077,59083) = 3490446391 / 1
LCM(59077,59083) = 3490446391

Least Common Multiple (LCM) of 59077 and 59083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59077 and 59083. First we will calculate the prime factors of 59077 and 59083.

Prime Factorization of 59077

Prime factors of 59077 are 59077. Prime factorization of 59077 in exponential form is:

59077 = 590771

Prime Factorization of 59083

Prime factors of 59083 are 59083. Prime factorization of 59083 in exponential form is:

59083 = 590831

Now multiplying the highest exponent prime factors to calculate the LCM of 59077 and 59083.

LCM(59077,59083) = 590771 × 590831
LCM(59077,59083) = 3490446391